Question
Jan Villaroel
Topic: Algebra Posted 4 months ago
Determine algebraically whether the function is even, odd, or neither. f(x) = -2x^4 - x^2

Determine algebraically whether the function is even, odd, or neither. f(x) = -2x^4 - x^2


Answers
What are best answers and total votes?
No Votes
Vote
SignIn to Vote
Koala Tutor
Jul 31, 2024
Koala Ai Support

A function is even if f(x) = f(-x) for all x in the domain of f. A function is odd if -f(x) = f(-x) for all x in the domain of f.

Let's check if the function is even:

f(-x) = -2(-x)^4 - (-x)^2 = -2x^4 - x^2 = f(x)

So, the function is even.

Let's check if the function is odd:

-f(x) = -(-2x^4 - x^2) = 2x^4 + x^2

This is not equal to f(-x), so the function is not odd.

Therefore, the function is even.

Koala Tutor Got a question with my answer?
Message Me